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If the straight lines x+3 y=4,3 x+y=4 and x+y=0 form a triangle, then the triangle is

Options

  1. Ascalene
  2. Bequilateral triangle
  3. Cisosceles
  4. Dright angled isosceles

Correct answer

C. isosceles

Step-by-step solution

Let equation of A B: x+3 y=4 Let equation of B C: 3 x+y=4 Let equation of C A: x+y=0 Now, By solving these equations we get A=(-2,2), B=(1,1) and C=(2,-2) Now, A B= 9+1 = 10 , B C= 1+9 = 10 and C A= 16+16 = 32 Since, length of A B and B C are same therefore triangle is isosceles.

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